From Delhi to Kathgodam travel by overnight train. From kathgodam it is better to take a car. Mukteshwar is 70 km from Kathgodam and the journey takes around 3 hrs. Stops can be taken at Bhimtal to see the lake and also a Detour to Naukuchiatal is worthwhile.
Mukteshwar has got some good commercial centers and “Shri Hari Store” is leading one. You can get all your daily need items from the Shop. From mineral water, wafers, cosmetics, Snacks to all the house hold items.
The northern side of Mukteshwar is occupied by IVRI and perhaps the PWD Circuit House is only the place to offer good Himalayan sight. There also is the Kumaon Mandal Vikas Nigam tourist hotel which has a terrific location, next to the PWD circuit house. The circuit house, by the way, has housed Jim Corbett for long stretches in the past.
Shreehariresort is another quiet place to live. The resort is is only accommodation available at Mukteshwar (0 Milestone), which is surrounded by thick coniferous forest as seen from the front side of the rooms. There are a bunch of other places to stay at just outside of Mukteshwar. Mountain Trails is one of them, and there is Krishna Resorts. The former is pretty well located for scenic views.
It is better that you stay at Peora which is about 10 km from Mukteswar on way to Almora and good apartments are available for staying in comfort (Resort Sequester). Peora offers excellent Himalayan view with its snow capped ranges. Or else you may choose to stay at Sagarkhet towards Ramgarh. Couple of lodges are available there but water supply may pose a problem.
Nainital - the lake city, Almora the ancient capital of Chand rulers.